> Obviously I know what a scalar is, a scalar is one number
Hang on, is that a Natural number, or a signed Integer? Is it place-value, and if so what's the base? Big- or little-endian?
Is it fractional, and if so is it a rational (numerator and denominator), or fixed-point (what precision?), or float (how big's the mantissa?); maybe it's a unum? How about a sequence of continued fractions?
This is tongue-in-cheek; but from a software perspective, all those representations have the same "API" (arithmetic). Likewise, geometric algebra is an "API"; that's essentially what an algebra is.
Hang on, is that a Natural number, or a signed Integer? Is it place-value, and if so what's the base? Big- or little-endian?
Is it fractional, and if so is it a rational (numerator and denominator), or fixed-point (what precision?), or float (how big's the mantissa?); maybe it's a unum? How about a sequence of continued fractions?
This is tongue-in-cheek; but from a software perspective, all those representations have the same "API" (arithmetic). Likewise, geometric algebra is an "API"; that's essentially what an algebra is.